| 17525 |
Creator |
80b473f9888b354bf7fee26ec7cc369f |
| 17525 |
Creator |
ext-d0ef7658570f372024819533068ee68c |
| 17525 |
Date |
2009-05-06 |
| 17525 |
Is Part Of |
p0012365X |
| 17525 |
Is Part Of |
repository |
| 17525 |
abstract |
We give a characterization of a current assignment on the bipartite Möbius ladder
graph with 2n+1 rungs. Such an assignment yields an index one current graph with current
group that generates an orientable face 2-colorable triangular embedding of the complete
graph K12n+7 or, equivalently, an orientable biembedding of two cyclic Steiner triple
systems of order 12n+7. We use our characterization to construct Skolem sequences
that give rise to such current assignments. These produce many nonisomorphic orientable
biembeddings of cyclic Steiner triple systems of order 12n+7. |
| 17525 |
authorList |
authors |
| 17525 |
issue |
9 |
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status |
peerReviewed |
| 17525 |
volume |
309 |
| 17525 |
type |
AcademicArticle |
| 17525 |
type |
Article |
| 17525 |
label |
Grannell, M.J. and Korzhik, V.P. (2009). Orientable biembeddings of cyclic Steiner
triple systems from current assignments on Möbius ladder graphs. Discrete Mathematics,
309(9) pp. 2847–2860. |
| 17525 |
label |
Grannell, M.J. and Korzhik, V.P. (2009). Orientable biembeddings of cyclic Steiner
triple systems from current assignments on Möbius ladder graphs. Discrete Mathematics,
309(9) pp. 2847–2860. |
| 17525 |
sameAs |
j.disc.2008.07.016 |
| 17525 |
Title |
Orientable biembeddings of cyclic Steiner triple systems from current assignments
on Möbius ladder graphs |
| 17525 |
in dataset |
oro |